释义 |
Curtate CycloidThe path traced out by a fixed point at a Radius , where is the Radius of a rolling Circle,sometimes also called a Contracted Cycloid.
The Arc Length from is
 | (3) |
where
 | (4) |
 | (5) |
and is a complete Elliptic Integral of the Second Kind and is aJacobi Elliptic Function.See also Cycloid, Prolate Cycloid References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., 1989.Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 46-50, 1991.
|